@article{wilson2014,
    title = {Best {{Practices}} for {{Scientific Computing}}},
    volume = {12},
    doi = {10.1371/journal.pbio.1001745},
    number = {1},
    journal = {PLoS Biol},
    author = {Wilson, Greg and Aruliah, D. A. and Brown, C. Titus and Chue Hong, Neil P. and Davis, Matt and Guy, Richard T. and Haddock, Steven H. D. and Huff, Kathryn D. and Mitchell, Ian M. and Plumbley, Mark D. and Waugh, Ben and White, Ethan P. and Wilson, Paul},
    month = jan,
    year = {2014},
    pages = {e1001745}
}

@article{poisson1824,
	title={Second m\'{e}moire sur ta th\'{e}orie du magn\'{e}tism},
	author={Poisson, S D},
	journal={M\'{e}moires de l'Acad\'{e}mie des sciences de l'Institut de France},
	pages={488--533},
	year={1824}
}

@article{dirichlet1839,
	title={Sur un nouvelle methode pour la determination des integrales multiples},
	author={Dirichlet, L P G},
	journal={Journal de math\'{e}matiques pures et appliqu\'{e}es},
	volume={1},
	number={4},
	pages={164--168},
	year={1839},
	url={http://sites.mathdoc.fr/JMPA/PDF/JMPA_1839_1_4_A11_0.pdf}
}

@book{maxwell1873,
	title={A treatise on electricity and magnetism},
	author={Maxwell, James Clerk},
	volume={2},
	year={1873},
	publisher={Clarendon press}
}

@article{thomson1879,
  title={Treatise on Natural Philosophy},
  author={Thomson, W and Tait, PG},
  journal={Part II, Cambridge University Press, Cambridge},
  year={1879}
}

@book{dubois1896,
  title={The Magnetic Circuit in Theory and Practice},
  author={DuBois, H.},
  year={1896},
  publisher={Longmans, Green, and Co.}

}

@book{peirce1902,
  title={Elements of the Theory of the Newtonian Potential Function},
  author={Peirce, B.O.},
  lccn={22020954},
  series={Cornell University Library historical math monographs},
  year={1902},
  publisher={Ginn}
}

@book{webster1904,
  title={The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies: Being Lectures on Mathematical Physics},
  author={Webster, A.G.},
  lccn={05006004},
  series={B. G. Teubners Sammlung von Lehrb{\"u}chern auf dem Gebiete der mathematischen Wissenschaften},
  year={1904},
  publisher={B.G. Teubner}
}

@article{hanna1924,
	title={Some historical notes on early magnetic surveying in the US Geological Survey},
	author={Hanna, WF},
	journal={Geologic applications of modern aeromagnetic surveys: US Geological Survey Bulletin},
	pages={63--73},
	year={1924}
}

@book{kellogg1929,
  author = {Kellogg, O. D.},
  Title = {Foundations of Potential Theory},
  Publisher = {Frederick Ungar Publishing Company},
  Year = {1929}
}

@article{stoner1945,
  title={The demagnetizing factors for ellipsoids},
  author={Stoner, Edmund C},
  journal={The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science},
  volume={36},
  number={263},
  pages={803--821},
  year={1945},
  publisher={Taylor \& Francis}
}

@article{osborn1945,
  title={Demagnetizing factors of the general ellipsoid},
  author={Osborn, JA},
  journal={Physical review},
  volume={67},
  number={11-12},
  pages={351},
  year={1945},
  publisher={APS}
}

@article{peake1953,
  author={H J Peake and N Davy},
  title={The magnetic fields produced by uniformly magnetized ellipsoids of revolution},
  journal={British Journal of Applied Physics},
  volume={4},
  number={7},
  pages={207},
  year={1953}
}

@book{macmillan1958,
  Author = {W.D. Macmillan},
  Title = {Theory of the Potential},
  Publisher = {Dover Publications Inc.},
  Year = {1958},
  ISBN = {0486604861}
}

@article{chang1961,
  author={H Chang},
  title={Fields external to open-structure magnetic devices represented by ellipsoid or spheroid},
  journal={British Journal of Applied Physics},
  volume={12},
  number={4},
  pages={160},
  year={1961}
}

@article {fuller1963,
    author = {Fuller, M. D.},
    title = {Magnetic anisotropy and paleomagnetism},
    journal = {Journal of Geophysical Research},
    volume = {68},
    number = {1},
    issn = {2156-2202},
    doi = {10.1029/JZ068i001p00293},
    pages = {293--309},
    year = {1963}
}

@article{jahren1963,
    author = {Charles E. Jahren},
    title = {MAGNETIC SUSCEPTIBILITY OF BEDDED IRON‐FORMATION},
    journal = {GEOPHYSICS},
    volume = {28},
    number = {5},
    pages = {756-766},
    year = {1963},
    doi = {10.1190/1.1439268}
}

@article {uyeda1963,
    author = {Uyeda, S. and Fuller, M. D. and Belshé, J. C. and Girdler, R. W.},
    title = {Anisotropy of magnetic susceptibility of rocks and minerals},
    journal = {Journal of Geophysical Research},
    volume = {68},
    number = {1},
    issn = {2156-2202},
    doi = {10.1029/JZ068i001p00279},
    pages = {279--291},
    year = {1963}
}


@article{reford1964,
	title={Aeromagnetics},
	author={Reford, MS and Sumner, JS},
	journal={Geophysics},
	volume={29},
	number={4},
	pages={482--516},
	year={1964},
	publisher={Society of Exploration Geophysicists}
}

@book{grant1965,
	title={Interpretation theory in applied geophysics},
	author={Grant, Fraser S and West, Gordon Fox},
	year={1965},
	publisher={McGraw-Hill Book}
}

@article{bulirsch1965a,
  title={Numerical calculation of elliptic integrals and elliptic functions},
  author={Bulirsch, Roland},
  journal={Numerische Mathematik},
  volume={7},
  number={1},
  pages={78--90},
  year={1965},
  publisher={Springer}
}

@article{bulirsch1965b,
  title={Numerical calculation of elliptic integrals and elliptic functions. II},
  author={Bulirsch, Roland},
  journal={Numerische Mathematik},
  volume={7},
  number={4},
  pages={353--354},
  year={1965},
  publisher={Springer}
}

@article{schlomann1965,
    author = {R. I. Joseph and E. Schlömann},
    title = {Demagnetizing Field in Nonellipsoidal Bodies},
    journal = {Journal of Applied Physics},
    volume = {36},
    number = {5},
    pages = {1579-1593},
    year = {1965},
    doi = {10.1063/1.1703091}

}

@Article{sharma1966,
    author="Sharma, P. V.",
    title="Rapid computation of magnetic anomalies and demagnetization effects caused by bodies of arbitrary shape",
    journal="pure and applied geophysics",
    year="1966",
    volume="64",
    number="1",
    pages="89--109",
    issn="1420-9136",
    doi="10.1007/BF00875535",
}

@article{bulirsch1969,
  title={Numerical calculation of elliptic integrals and elliptic functions. III},
  author={Bulirsch, Roland},
  journal={Numerische Mathematik},
  volume={13},
  number={4},
  pages={305--315},
  year={1969},
  publisher={Springer}
}

@article {janak1972,
    author = {Jan\'{a}k, F.},
    title = {Magnetic susceptibility anisotropy of various rock types and its significance for geophysics and geology},
    journal = {Geophysical Prospecting},
    volume = {20},
    number = {2},
    publisher = {Blackwell Publishing Ltd},
    issn = {1365-2478},
    doi = {10.1111/j.1365-2478.1972.tb00640.x},
    pages = {375--384},
    year = {1972}
}


@article{lowes1974,
 ISSN = {00804630},
 URL = {http://www.jstor.org/stable/78532},
 author = {F. J. Lowes},
 journal = {Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences},
 number = {1611},
 pages = {555-567},
 publisher = {The Royal Society},
 title = {The Torque on a Magnet},
 volume = {337},
 year = {1974}
}

@article{farrar1979,
	title={Some comments on detailed magnetic investigations of ellipsoidal bodies at Tennant Creek},
	author={Farrar, LJD},
	journal={Exploration Geophysics},
	volume={10},
	number={1},
	pages={26--33},
	year={1979},
	publisher={Australian Society of Exploration Geophysicists (ASEG) PO Box 8463, Perth Business Centre WA 6849 Australia}
}

@article{eskola1980,
    title = "Solving the magnetostatic field problem (a case of high susceptibility) by means of the method of subsections ",
    author = "L Eskola and T Tervo",
    journal = "Geoexploration ",
    volume = "18",
    number = "2",
    pages = "79 - 95",
    year = "1980",
    issn = "0016-7142",
    doi = "10.1016/0016-7142(80)90022-8"
}



@ARTICLE{soliverez1981,
    author={Soliv\'{e}rez, C. E.},
    journal={IEEE Transactions on Magnetics},
    title={Magnetostatics of anisotropic ellipsoidal bodies},
    year={1981},
    volume={17},
    number={3},
    pages={1363-1364},
    doi={10.1109/TMAG.1981.1061200},
    ISSN={0018-9464},
    month={May}
}

@article{hrouda1982,
  title={Magnetic anisotropy of rocks and its application in geology and geophysics},
  author={Hrouda, Franti{\v{s}}ek},
  journal={Geophysical surveys},
  volume={5},
  number={1},
  pages={37--82},
  year={1982},
  publisher={Springer}
}

@book{searle1982,
  Author = {Shayle R. Searle},
  Title = {Matrix Algebra Useful for Statistics},
  Publisher = {Wiley-Interscience},
  Year = {1982},
  ISBN = {0471866814}
}

@article{thompson1982,
  title={EULDPH: A new technique for making computer-assisted depth estimates from magnetic data},
  author={Thompson, DT},
  journal={Geophysics},
  volume={47},
  number={1},
  pages={31--37},
  year={1982},
  publisher={Society of Exploration Geophysicists}
}

@article{emerson1985,
	title={Magnetic exploration models incorporating remanence, demagnetization and anisotropy: HP 41C handheld computer algorithms},
	author={Emerson, Donald Westland and Clark, DA and Saul, SJ},
	journal={Exploration Geophysics},
	volume={16},
	number={1},
	pages={1--122},
	year={1985},
	publisher={Australian Society of Exploration Geophysicists (ASEG) PO Box 8463, Perth Business Centre WA 6849 Australia}
}

@article{clark1986,
  title={Magnetic and gravity anomalies of a triaxial ellipsoid},
  author={Clark, DA and Saul, SJ and Emerson, DW},
  journal={Exploration Geophysics},
  volume={17},
  number={4},
  pages={189--200},
  year={1986},
  publisher={Australian Society of Exploration Geophysicists (ASEG) PO Box 8463, Perth Business Centre WA 6849 Australia}
}

@book{thompson1986,
  Author = {Roy Thompson and Frank Oldfield},
  Title = {Environmental Magnetism},
  Publisher = {Springer Netherlands},
  Year = {1986},
  ISBN = {978-94-011-8038-2}
}

@article {macDonald1987,
    author = {MacDonald, William D. and Ellwood, Brooks B.},
    title = {Anisotropy of magnetic susceptibility: Sedimentological, igneous, and structural-tectonic applications},
    journal = {Reviews of Geophysics},
    volume = {25},
    number = {5},
    issn = {1944-9208},
    doi = {10.1029/RG025i005p00905},
    pages = {905--909},
    year = {1987}
}

@phdthesis{wedekind1990,
  author       = {M. Richard Wedekind},
  title        = {Geology and geochemistry of the Warrego Au-Cu-Bi mine, Tennant Creek, northern territory, Australia},
  school       = {University of Tasmania},
  year         = 1990,
  address      = {Hobart}
}

@article{clark1991,
    author = {D.A. Clark and D.W. Emerson},
    title = {Notes on rock magnetization characteristics in applied geophysical studies},
    journal = {Exploration Geophysics},
    volume = {22},
    number = {3},
    pages = {547-555},
    year = {1991},
    doi = {10.1071/EG991547}
}

@article{hoschke1991,
  title={Geophysical discovery and evaluation of the West Peko copper-gold deposit, Tennant Creek},
  author={Hoschke, T},
  journal={Exploration Geophysics},
  volume={22},
  number={3},
  pages={485--495},
  year={1991},
  publisher={Australian Society of Exploration Geophysicists (ASEG) PO Box 8463, Perth Business Centre WA 6849 Australia}
}

@article{cronemeyer1991,
  title={Demagnetization factors for general ellipsoids},
  author={Cronemeyer, DC},
  journal={Journal of applied physics},
  volume={70},
  number={6},
  pages={2911--2914},
  year={1991},
  publisher={AIP Publishing}
}

@book{reitz1992,
  Author = {John R. Reitz and Frederick J. Milford and Robert W. Christy},
  Title = {Foundations of Electromagnetic Theory},
  Publisher = {Addison Wesley},
  Year = {1992},
  ISBN = {0201526247},
  edition = {4}
}

@article {rochette1992,
    author = {Rochette, P. and Jackson, M. and Aubourg, C.},
    title = {Rock magnetism and the interpretation of anisotropy of magnetic susceptibility},
    journal = {Reviews of Geophysics},
    volume = {30},
    number = {3},
    issn = {1944-9208},
    doi = {10.1029/92RG00733},
    pages = {209--226},
    year = {1992}
}

@article{tejedor1995,
  title={External fields created by uniformly magnetized ellipsoids and spheroids},
  author={Tejedor, M and Rubio, H and Elbaile, L and Iglesias, R},
  journal={IEEE transactions on magnetics},
  volume={31},
  number={1},
  pages={830--836},
  year={1995},
  publisher={IEEE}
}

@article{medeiros1995,
  title={Simultaneous estimation of total magnetization direction and 3-D spatial orientation},
  author={Medeiros, Walter E and Silva, Joao BC},
  journal={Geophysics},
  volume={60},
  number={5},
  pages={1365--1377},
  year={1995},
  publisher={Society of Exploration Geophysicists}
}

@book{blakely1996,
	title={Potential theory in gravity and magnetic applications},
	author={Blakely, Richard J},
	year={1996},
	publisher={Cambridge University Press}
}

@book{dunlop1997,
  title={Rock Magnetism: Fundamentals and Frontiers},
  author={Dunlop, D.J. and {\"O}zdemir, {\"O}.},
  isbn={9780521325141},
  lccn={96031562},
  series={Cambridge Studies in Magnetism},
  year={1997},
  publisher={Cambridge University Press}
}

@book{demmel1997,
  Author = {James W. Demmel},
  Title = {Applied Numerical Linear Algebra},
  Publisher = {SIAM},
  Year = {1997},
  ISBN = {0898713897}
}

@article{guo1998,
  title={Self demagnetisation corrections in magnetic modelling: some examples},
  author={Guo, Wanwu and Dentith, Michael C and Li, Zhengxiang and Powell, Chris McA},
  journal={Exploration Geophysics},
  volume={29},
  number={3/4},
  pages={396--401},
  year={1998},
  publisher={Australian Society of Exploration Geophysicists (ASEG) PO Box 8463, Perth Business Centre WA 6849 Australia}
}

@article{clark1999,
    author = {D.A. Clark and D.W. Emerson},
    title = {Self-Demagnetisation},
    journal = {Preview (Magazine of the Australian Society of Exploration Geophysicists)},
    volume = {},
    number = {79},
    pages = {22-25},
    year = {1999}
}

@article{clark2000,
    author = {D.A. Clark},
    title = {Self-Demagnetisation in Practice: the Osborne Cu-Au Deposit},
    journal = {Preview (Magazine of the Australian Society of Exploration Geophysicists)},
    volume = {},
    number = {85},
    pages = {31-36},
    year = {2000},
    issn = {1443-2471}
}

@article{guo2001,
  title={Systematic error analysis of demagnetization and implications for magnetic interpretation},
  author={Guo, Wanwu and Dentith, Michael C and Bird, Robert T and Clark, David A},
  journal={Geophysics},
  volume={66},
  number={2},
  pages={562--570},
  year={2001},
  publisher={Society of Exploration Geophysicists}
}

@book{tauxe2003,
    author = {Tauxe, Lisa},
    title = {Paleomagnetic principles and practice},
    publisher = {Kluwer Academic Publishers},
    year = {2003},
    isbn = {0-306-48128-6}
 }

@article{purss2005,
    author = {Matthew B. J. Purss and James P. Cull},
    title = {A new iterative method for computing the magnetic field at high magnetic susceptibilities},
    journal = {GEOPHYSICS},
    volume = {70},
    number = {5},
    pages = {L53-L62},
    year = {2005},
    doi = {10.1190/1.2052469}
}

@article{nabighian2005,
	title={The historical development of the magnetic method in exploration},
	author={Nabighian, Misac N and Grauch, VJS and Hansen, RO and LaFehr, TR and Li, Y and Peirce, JW and Phillips, JD and Ruder, ME},
	journal={Geophysics},
	volume={70},
	number={6},
	pages={33--61},
	year={2005},
	publisher={Society of Exploration Geophysicists}
}

@article{nabighian2005,
	title={The historical development of the gravity method in exploration},
	author={Nabighian, Misac N and Grauch, VJS and Hansen, RO and LaFehr, TR and Li, Y and Peirce, JW and Phillips, JD and Ruder, ME},
	journal={Geophysics},
	volume={70},
	number={6},
	pages={63--89},
	year={2005},
	publisher={Society of Exploration Geophysicists}
}

@Book{pollard2005,
    author = {David D. Pollard and Raymond C. Fletcher},
    title = {Fundamentals of Structural Geology},
    publisher = {Cambridge University Press},
    year = {2005},
    isbn = {978-0-521-83927-3}
}

@book{gubbins2007,
  title={Encyclopedia of geomagnetism and paleomagnetism},
  author={Gubbins, David and Herrero-Bervera, Emilio},
  year={2007},
  publisher={Springer Science \& Business Media}
}

@ARTICLE{hunter2007,
    author={J. D. Hunter},
    journal={Computing in Science Engineering},
    title={Matplotlib: A 2D Graphics Environment},
    year={2007},
    volume={9},
    number={3},
    pages={90-95},
    doi={10.1109/MCSE.2007.55},
    ISSN={1521-9615},
    month={May}
}

@book{sttraton2007,
  Author = {Julius Adams Stratton},
  Title = {Electromagnetic Theory},
  Publisher = {Wiley-IEEE Press},
  Year = {2007},
  ISBN = {0470131535},
  edition   = {REISSUE}
}

@article{soliverez2008,
   title = {Campos el\'{e}ctricos generados por elipsoides uniformemente polarizados},
   journal = {Revista mexicana de f\'{i}sica E},
   author={Soliv\'{e}rez, C. E.},
   ISSN = {1870-3542},
   language = {es},
   volume = {54},
   year = {2008},
   month = {12},
   pages = {203 - 207},
   publisher = {scielomx}
}

@article{barbosa2011,
  title={Reconstruction of geologic bodies in depth associated with a sedimentary basin using gravity and magnetic data},
  author={Barbosa, Val{\'e}ria CF and Silva, Jo{\~a}o BC},
  journal={Geophysical Prospecting},
  volume={59},
  number={6},
  pages={1021--1034},
  year={2011},
  publisher={Wiley Online Library}
}

@ARTICLE{vanderwalt2011,
    author={S. van der Walt and S. C. Colbert and G. Varoquaux},
    journal={Computing in Science Engineering},
    title={The NumPy Array: A Structure for Efficient Numerical Computation},
    year={2011},
    volume={13},
    number={2},
    pages={22-30},
    doi={10.1109/MCSE.2011.37},
    ISSN={1521-9615},
    month={March}
}

@Book{allmendinger2012,
    author = {Richard Allmendinger and Nestor Cardozo and Donald M. Fisher},
    title = {Structural Geology Algorithms : Vectors and Tensors},
    publisher = {Cambridge University Press},
    year = {2012},
    isbn = {978-1-107-40138-9}
 }

@book{golub2013,
  Author = {Gene H Golub and Charles F Van Loan},
  Title = {Matrix Computations (Johns Hopkins Studies in the Mathematical Sciences)},
  Publisher = {Johns Hopkins University Press},
  Year = {2013},
  edition = 4,
  ISBN = {978-1-4214-0794-4}
}

@inbook{hillan2013,
    author = {Dean Hillan and Clive Foss},
    title = {Correction schemes for self-demagnetisation},
    booktitle = {ASEG Extended Abstracts 2012: 22nd Geophysical Conference},
    pages = {1-4},
    year = {2013},
    doi = {10.1071/ASEG2012ab402}
}

@InProceedings{uieda2013,
  author    = {Uieda, L. and Oliveira Jr., V. C. and Barbosa, V. C. F.},
  title     = { Modeling the Earth with Fatiando a Terra},
  booktitle = { Proceedings of the 12th Python in Science Conference },
  pages     = { 96 - 103 },
  year      = { 2013 },
  editor    = { St\'efan van der Walt and Jarrod Millman and Katy Huff }
}

@article{austin2014,
    title = "Remanence, self-demagnetization and their ramifications for magnetic modelling of iron oxide copper-gold deposits: An example from Candelaria, Chile ",
    journal = "Journal of Applied Geophysics ",
    volume = "109",
    pages = "242 - 255",
    year = "2014",
    issn = "0926-9851",
    doi = "10.1016/j.jappgeo.2014.08.002",
    author = "James Austin and Silvana Geuna and David Clark and Dean Hillan"
}

@article{clark2014,
	title={Methods for determining remanent and total magnetisations of magnetic sources--a review},
	author={Clark, David A},
	journal={Exploration Geophysics},
	volume={45},
	number={4},
	pages={271--304},
	year={2014},
	publisher={Korean Society of Earth and Exploration Geophysicists (KSEG) PO Box 8463, Perth Business Centre WA 6849 Australia}
}

@article{oliveira2015,
	title={Estimation of the total magnetization direction of approximately spherical bodies},
	author={Oliveira Jr, VC and Sales, DP and Barbosa, VCF and Uieda, L},
	journal={Nonlinear Processes in Geophysics},
	volume={22},
	number={2},
	pages={215--232},
	year={2015},
	publisher={Copernicus}
}

@book{soliverez2016,
    title={Electrostatics and magnetostatics of polarized ellipsoidal bodies: the depolarization tensor method},
    author={Soliv\'{e}rez, Carlos Eduardo},
    Publisher = {Free Scientific Information},
    Year = {2016},
    edition = {1},
    ISBN = {978-987-28304-0-3},
    note = {The book is freely distributed under an Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0) license},
    url={https://www.academia.edu/27019747/Electrostatics_and_Magnetostatics_of_Polarized_Ellipsoidal_Bodies_The_Depolarization_Tensor_Method}

}

@Misc{weisstein2017,
  author =    {Weisstein, Eric W.},
  title =     {Cubic Formula: From MathWorld -- A Wolfram Web Resource},
  year =      {2017},
  url = "http://mathworld.wolfram.com/CubicFormula.html",
  note = {[Online; accessed 2017-01-23]}
}

@Misc{takahashi2017,
  author       = {Takahashi, Diego and Oliveira Jr., Vanderlei Coelho},
  title        = {{Ellipsoids (v1.0): 3D Magnetic modelling of ellipsoidal bodies}},
  month        = jul,
  year         = 2017,
  note         = {{The latest development version of our code can be 
                   freely downloaded from a repository on GitHub
                   (https://github.com/pinga-lab/magnetic-ellipsoid).}},
  doi          = {10.5281/zenodo.825261},
  url          = {https://doi.org/10.5281/zenodo.825261}
}